Which number is divisible by 3, 4, 5, and 6?

Help Plz.

3 = 3

4 = 2*2
5 = 5
6 = 2*3

so you need 2*2*3*5 =60

To find a number that is divisible by 3, 4, 5, and 6, we need to find the least common multiple (LCM) of these four numbers.

First, we can find the prime factorization of each number:
3 = 3
4 = 2^2
5 = 5
6 = 2 * 3

Next, we identify the highest power of each prime factor that appears among the given numbers:
- The highest power of 2 is 2^2
- The highest power of 3 is 3
- The highest power of 5 is 5

Finally, we multiply these highest powers together to find the LCM:
LCM = 2^2 * 3 * 5
= 60

Therefore, 60 is the smallest number that is divisible by 3, 4, 5, and 6.

To find a number that is divisible by 3, 4, 5, and 6, we can start by finding the least common multiple (LCM) of these four numbers.

Step 1: Find the least common multiple (LCM) of 3 and 4.
- The multiples of 3 are: 3, 6, 9, 12, 15, ...
- The multiples of 4 are: 4, 8, 12, 16, 20, ...
The least common multiple of 3 and 4 is 12.

Step 2: Find the least common multiple (LCM) of 12 and 5.
- The multiples of 12 are: 12, 24, 36, 48, ...
- The multiples of 5 are: 5, 10, 15, 20, 25, 30, ...
The least common multiple of 12 and 5 is 60.

Step 3: Find the least common multiple (LCM) of 60 and 6.
- The multiples of 60 are: 60, 120, 180, 240, ...
- The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, ...
The least common multiple of 60 and 6 is 60.

Therefore, a number that is divisible by 3, 4, 5, and 6 is 60.